Quantum Gravity and String Theory

    

Polymer Physics, the Quantum Harmonic Oscillator, and the Fabric of Space-Time

Authors: P. R. Silva

The density of probability associated to the random walk describing a polymer chain is took as the squared wave function of a harmonic oscillator of mass M. The insertion of this wave function in the Schroedinger equation reveals a structure of energy levels, where the quantum of energy depends on the radius of gyration of the polymer. Besides this, we compare this function with another derivate from the Bekenstein-Hawking entropy. This comparison suggests that to each lattice edge having the size of the Planck’s length, in a vision of a discrete space-time, we could attach a continuum chain of infinite length. We call this picture the fabric of space-time.

Comments: 03 pages, 04 references

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Submission history

[v1] 2014-02-11 12:29:31

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